JNTUK R20 2-1 MOS Material/Notes PDF Download

Students those who are studying JNTUK R20 Mechanical Branch, Can Download Unit wise R20 2-1 Mechanics of Solids Material/Notes PDFs below.

JNTUK R20 2-1 MOS Material/Notes PDF Download

Course Objectives : The students completing this course are expected to understand the basic terms like stress, strain, poissons ratio…etc and different stresses and deflections induced in beams, thin cylinders, thick cylinders, and columns. Further, the student shall be able to understand the shear stresses due to torsion in circular shafts.

UNIT-1

SIMPLE STRESSES & STRAINS : Elasticity and plasticity – Types of stresses & strains–Hooke’s law – stress – strain diagram for mild steel – Working stress – Factor of safety – Lateral strain, Poisson’s ratio & volumetric strain – Bars of varying section – composite bars – Temperature stresses- Complex Stresses – Stresses on an inclined plane under different uniaxial and biaxial stress conditions – Principal planes and principal stresses – Mohr’s circle – Relation between elastic constants, Strain energy – Resilience – Gradual, sudden, impact and shock loadings.

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UNIT-2

SHEAR FORCE AND BENDING MOMENT : Definition of beam – Types of beams – Concept of shear force and bending moment – S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d.l, uniformly varying loads and combination of these loads – Point of contra flexure – Relation between S.F., B.M and rate of loading at a section of a beam.

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UNIT-3

FLEXURAL STRESSES : Theory of simple bending – Assumptions – Derivation of bending equation: M/ I = f/y = E/R Neutral axis – Determination bending stresses – section modulus of rectangular and circular sections (Solid and Hollow), I,T, Angle and Channel sections – Design of simple beam sections.

SHEAR STRESSES: Derivation of formula – Shear stress distribution across various beams sections like rectangular, circular, triangular, I, T angle sections.

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UNIT-4

DEFLECTION OF BEAMS : Bending into a circular arc – slope, deflection and radius of curvature – Differential equation for the elastic line of a beam – Double integration and Macaulay’s methods – Determination of slope and deflection for cantilever and simply supported beams subjected to point loads, – U.D.L uniformly varying load. Mohr’s theorems – Moment area method – application to simple cases including overhanging beams, Statically indeterminate Beams and solution methods.

TORSION: Introduction-Derivation- Torsion of Circular shafts- Pure Shear-Transmission of power by circular shafts, Shafts in series, Shafts in parallel.

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UNIT-5

THIN AND THICK CYLINDERS: Thin seamless cylindrical shells – Derivation of formula for longitudinal and circumferential stresses – hoop, longitudinal and Volumetric strains – changes in dia, and volume of thin cylinders – Riveted boiler shells – Thin spherical shells. Wire wound thin cylinders. Lame’s equation – cylinders subjected to inside & outside pressures –compound cylinders.

COLUMNS: Buckling and Stability, Columns with Pinned ends, Columns with other support Conditions, Limitations of Euler’s Formula, Rankine’s Formula.

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TEXT BOOK:

1. Strength of materials /GH Ryder/ Mc Millan publishers India Ltd.

2. Strength of materials by B.C. Punmia-lakshmi publications pvt.Ltd, New Delhi.

REFERENCES :

1. Mechanics of Materials by Gere & Timeshenko

2. Strength of Materials -By Jindal, Umesh Publications.

3. Strength of Materials by S.Timshenko- D. VAN NOSTRAND Company- PHI Publishers

4. Strength of Materials by Andrew Pytel and Ferdinond L. Singer Longman- Harpercollins College Division

5. Solid Mechanics, by Popov-

6. Mechanics of Materials/Gere and Timoshenko, CBS Publishers

COURSE OUTCOMES: After undergoing the course the student is expected to learn

• CO1: Model & Analyze the behavior of basic structural members subjected to various loading and support conditions based on principles of equilibrium.
• CO2: Understand the apply the concept of stress and strain to analyze and design structural members and machine parts under axial, shear and bending loads, moment and torsional moment.
• CO3: Students will learn all the methods to analyze beams, columns, frames for normal, shear, and torsion stresses and to solve deflection problems in preparation for the design of such structural components. Students are able to analyse beams and draw correct and complete shear and bending moment diagrams for beams.
• CO4: Students attain a deeper understanding of the loads, stresses, and strains acting on a structure and their relations in the elastic behavior
• CO5: Design and analysis of Industrial components like pressure vessels.

JNTUK R20 2-1 VCFT&PDE (M-3) Material/Notes PDF Download

Students those who are studying JNTUK R20 Mechanical Branch, Can Download Unit wise R20 2-1 Vector Calculus, Fourier Transforms and PDE(M-III) Material/Notes PDFs below.

JNTUK R20 2-1 VCFT&PDE (M-3) Material/Notes PDF Download

Course Objectives : At the end of the course, the student will be able to

• Interpret the physical meaning of different operators such as gradient, curl and divergence (L5)
• Estimate the work done against a field, circulation and flux using vector calculus (L5)
• Apply the Laplace transform for solving differential equations (L3).
• Find or compute the Fourier series of periodic signals (L3)
• Know and be able to apply integral expressions for the forwards and inverse Fourier transform to a range of non-periodic waveforms (L3)
• Identify solution methods for partial differential equations that model physical processes (L3)

UNIT-1

Vector calculus:

Vector Differentiation: Gradient — Directional derivative — Divergence — Curl — Scalar Potential.

Vector Integration: Line integral — Work done — Area — Surface and volume integrals — Vector integral theorems: Greens, Stokes and Gauss Divergence theorems (without proof).

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UNIT-2

Laplace Transforms: Laplace transforms of standard functions — Shifting theorems — Transforms of derivatives and integrals — Unit step function — Dirac’s delta function — Inverse Laplace transforms — Convolution theorem (without proof). Applications: Solving ordinary differential equations (initial value problems) using Laplace transforms.

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UNIT-3

Fourier series and Fourier Transforms: Fourier Series: Introduction — Periodic functions — Fourier series of periodic function — Dirichlet’s conditions — Even and odd functions — Change of interval — Half-range sine and cosine series. Fourier Transforms: Fourier integral theorem (without proof) — Fourier sine and cosine integrals — Sine and cosine transforms — Properties — inverse transforms — Finite Fourier transforms.

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UNIT-4

PDE of first order: Formation of partial differential equations by elimination of arbitrary constants and arbitrary functions — Solutions of first order linear (Lagrange) equation and nonlinear (standard types) equations.

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UNIT-5

Second order PDE and Applications: (10 hrs) Second order PDE: Solutions of linear partial differential equations with constant coefficients — RHS term of the type eax + by ,sin(ax + by), cos(ax + by), xm y n

Applications of PDE: Method of separation of Variables — Solution of One dimensional Wave, Heat and two-dimensional Laplace equation.

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Text Books:

1. B.S. Grewal, Higher Engineering Mathematics, 43rd Edition, Khanna Publishers.

2. B. V. Ramana, Higher Engineering Mathematics, 2007 Edition, Tata Mc. Graw Hill Education.

Reference Books:

1. Erwin Kreyszig, Advanced Engineering Mathematics, 10th Edition, Wiley-India.

2. Dean. G. Duffy, Advanced Engineering Mathematics with MATLAB, 3rd Edition, CRC Press.

3. Peter O’ Neil, Advanced Engineering Mathematics, Cengage.

4. Srimantha Pal, S C Bhunia, Engineering Mathematics, Oxford University Press.

JNTUK B.Tech 2-1 R20 Mech Materials: Students Can Download JNTUK 2-1 Mechanical R20 Regulation Materials/ E Note Books / Text Books Subject Wise From Below.

JNTUK B.Tech 2-1 Sem R20 Mechanical Materials Subject Wise PDF

Students of Jawaharlal Nehru Technological University Kakinada can avail of B.Tech 2-1 can avail of the materials for R20 regulation for various branches. Students can download JNTUK B.Tech 2-1 Sem R20 Mechanical Materials Subject Wise PDF from the links provided here. By tapping on the link, one can download materials for JNTUK 2-1 Sem MECH R20. The Mechanical Engineering Students can download the subject-wise materials PDFs collected from various sources. By referring to the materials one can gain knowledge to clear the exams with a good score. The course materials include Vector Calculus, Fourier Transforms and PDE(M-III), Mechanics of Solids, Fluid Mechanics & Hydraulic Machines, Production Technology, Kinematics of Machinery, Computer Aided Engineering Drawing Practice and various other Mechanical related books of various popular authors. Check the following B.Tech R20 MECH 2-1 Materials PDFs and download them for free. 

JNTUK B.Tech 2-1 Sem R20 Mechanical Course Structure:

Also Check: JNTUK 2-1 Sem R20 MECH Syllabus

Download JNTUK 2-1 R20 MECH Materials PDF

Students who are pursuing the B.Tech 2-1 MECH R20 Regulation can check the text books, reference books, and e-resourses provided here for free. Students can get the complete chapter-wise information from their respective text books. And from the following information from the e-resourses, text books from the familer authors will provide the extra knowledge and understanding of each subject. Hence ts helps to score good in exams. Here we have collaboratively given the best JNTUK 2-1 R20 Mechanical materials at one place for the reference of students.

Vector Calculus, Fourier Transforms and PDE(M-III) Material

Mechanics of Solids Material

Fluid Mechanics & Hydraulic Machines Material

Production Technology Material

Kinematics of Machinery Material

Computer Aided Engineering Drawing Practice Material

JNTUK R20 2-1 Highway Engineering Material/Notes PDF Download

Students those who are studying JNTUK R20 Civil Branch, Can Download Unit wise R20 2-1 Highway Engineering Material/Notes PDFs below.

JNTUK R20 2-1 Highway Engineering Material/Notes PDF Download

OBJECTIVES:

• To impart different concepts in the field of Highway Engineering.
• To acquire design principles of Highway Geometrics and Pavements
• To acquire design principles of Intersections

UNIT-1

Highway Planning and Alignment: Highway development in India; Classification of Roads; Road Network Patterns; Necessity for Highway Planning; Different Road Development Plans– First, second, third road development plans, road development vision 2021, Rural Road Development Plan – Vision 2025; Planning Surveys; Highway Alignment- Factors affecting Alignment- Engineering Surveys – Drawings and Reports.

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UNIT-2

Highway Geometric Design: Importance of Geometric Design- Design controls and Criteria- Highway Cross Section Elements- Sight Distance Elements-Stopping sight Distance, Overtaking Sight Distance and Intermediate Sight Distance- Design of Horizontal Alignment-Design of Super elevation and Extra widening- Design of Transition Curves- Design of Vertical alignmentGradients- Vertical curves.

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UNIT-3

Traffic Engineering: Basic Parameters of Traffic-Volume, Speed and Density- Traffic Volume Studies; Speed studies –spot speed and speed & delay studies; Parking Studies; Road Accidents-Causes and Preventive measures – Condition Diagram and Collision Diagrams; PCU Factors, Capacity of Highways – Factors Affecting; LOS Concepts; Road Traffic Signs; Road markings; Types of Intersections; At-Grade Intersections – Design of Plain, Flared, Rotary and Channelized Intersections; Design of Traffic Signals –Webster Method –IRC Method.

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UNIT-4

Highway Materials: Subgrade soil: classification –Group Index – Subgrade soil strength – California Bearing Ratio – Modulus of Subgrade Reaction. Stone aggregates: Desirable properties – Tests for Road Aggregates – Bituminous Materials: Types – Desirable properties – Tests on Bitumen – Bituminous paving mixes: Requirements – Marshall Method of Mix Design

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UNIT-5

Design Of Pavements: Types of pavements; Functions and requirements of different components of pavements; Design Factors

Flexible Pavements: Design factors – Flexible Pavement Design Methods – CBR method – IRC method – Burmister method – Mechanistic method – IRC Method for Low volume Flexible pavements.

Rigid Pavements: Design Considerations – wheel load stresses – Temperature stresses –Frictional stresses – Combination of stresses – Design of slabs – Design of Joints – IRC method – Rigid pavements for low volume roads – Continuously Reinforced Cement Concrete Pavements – Roller Compacted Concrete Pavements.

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TEXT BOOKS:

1. Highway Engineering, Khanna S. K., Justo C. E. G and Veeraragavan A, Nem Chand Bros., Roorkee.

2. Traffic Engineering and Transportation Planning, Kadiyali L. R, Khanna Publishers, New Delhi.

REFERENCES:

1. Principles of Highway Engineering, Kadiyali L. R, Khanna Publishers, New Delhi
2. Principles of Transportation Engineering, Partha Chakroborthy and Animesh Das, PHI Learning Private Limited, Delhi

OUTCOMES:

• Plan highway network for a given area.
• Determine Highway alignment and design highway geometrics.
• Design Intersections and prepare traffic management plans
• Judge suitability of pavement materials and design flexible and rigid pavements

JNTUK R20 2-1 Surveying and Geometrics Material PDF Download

Students those who are studying JNTUK R20 Civil Branch, Can Download Unit wise R20 2-1 Surveying and Geometrics Material/Notes PDFs below.

JNTUK R20 2-1 Surveying and Geometrics Material PDF Download

OBJECTIVES:

• Know the principle and methods of surveying.
• Measure horizontal and vertical- distances and angles
• Recording of observation accurately
• Perform calculations based on the observation
• Identification of source of errors and rectification methods
• Apply surveying principles to determine areas and volumes and setting out curves
• Use modern surveying equipment’s for accurate results

UNIT-1

Introduction and Basic Concepts: Introduction, Objectives, classification and principles of surveying, Surveying accessories. Introduction to Compass, levelling and Plane table surveying.

Measurement of Distances and Directions Linear distances- Approximate methods, Direct Methods- Chains- Tapes, ranging, Tape corrections.

Prismatic Compass– Bearings, included angles, Local Attraction, Magnetic Declination, and dip – W.C.B systems and Q.B. system of locating bearings.

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UNIT-2

Leveling – Types of levels, temporary and permanent adjustments, methods of levelling, booking and Determination of levels, Effect of Curvature of Earth and Refraction.

Contouring– Characteristics and uses of Contours, methods of contour surveying.

Areas – Determination of areas consisting of irregular boundary and regular boundary.

Volumes -Determination of volume of earth work in cutting and embankments for level section, volume of borrow pits, capacity of reservoirs.

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UNIT-3

Theodolite Surveying: Types of Theodolites, temporary adjustments, measurement of horizontal angle by repetition method and reiteration method, measurement of vertical Angle, Trigonometrical levelling when base is accessible and inaccessible.

Traversing: Methods of traversing, traverse computations and adjustments, Introduction to Omitted measurements.

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UNIT-4

Curves: Types of curves and their necessity, elements of simple, compound, reverse curves.

Tacheometric Surveying: Principles of Tacheometry, stadia and tangential methods of Tacheometry,

Modern Surveying Methods: Principle and types of E.D.M. Instruments, Total station- advantages and Applications. Introduction to Global Positioning System.

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UNIT-5

Photogrammetry Surveying: Introduction, Basic concepts, perspective geometry of aerial photograph, relief and tilt displacements, terrestrial photogrammetry, flight planning; Stereoscopy, ground control extension for photographic mapping- aerial triangulation, radial triangulation, methods; photographic mapping- mapping using paper prints, mapping using stereoplotting instruments, mosaics, map substitutes.

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TEXT BOOKS:

1. Surveying (Vol – 1, 2 & 3), by B. C. Punmia, Ashok Kumar Jain and Arun Kumar Jain – Laxmi Publications (P) ltd., New Delhi.

2. Chandra A M, “Plane Surveying and Higher Surveying”, New age International Pvt. Ltd., Publishers, New Delhi.

3. Duggal S K, “Surveying (Vol – 1 & 2), Tata McGraw Hill Publishing Co. Ltd. New Delhi.

REFERENCES:

1. Arthur R Benton and Philip J Taety, Elements of Plane Surveying, McGraw Hill.

2. Surveying and levelling by R. Subramanian, Oxford university press, New Delhi

3. Arora K R “Surveying Vol 1, 2 & 3), Standard Book House, Delhi.

JNTUK R20 2-1 Fluid Mechanics Material PDF Download

Students those who are studying JNTUK R20 Civil Branch, Can Download Unit wise R20 2-1 Fluid Mechanics Material/Notes PDFs below.

JNTUK R20 2-1 Fluid Mechanics Material PDF Download

OBJECTIVES:

• To understand the properties of fluids and fluid statics
• To derive the equation of conservation of mass and its application
• To solve kinematic problems such as finding particle paths and streamlines
• To use important concepts of continuity equation, Bernoulli’s equation and turbulence, and apply the same to problems
• To analyze laminar and turbulent flows
• To understand the various flow measuring devices  To study in detail about boundary layers theory

UNIT-1

Introduction: Dimensions and units – Physical properties of fluids – specific gravity, viscosity, surface tension, vapour pressure and their influences on fluid motion, pressure at a point, Pascal’s law, Hydrostatic law -atmospheric, gauge and vacuum pressures- measurement of pressure. Pressure gauges, Manometers: Differential and Micro Manometers.

Hydrostatics: Hydrostatic forces on submerged plane, Horizontal, Vertical, inclined and curved surfaces – Center of pressure.

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UNIT-2

Fluid Kinematics: Description of fluid flow, Stream line, path line and streak line and stream tube. Classification of flows: Steady, unsteady, uniform, non-uniform, laminar, turbulent, rotational and irrotational flows – Equation of continuity for one, two , three dimensional flows – stream and velocity potential functions, flow net analysis.

Fluid Dynamics: Surface and body forces – Euler’s and Bernoulli’s equations for flow along a stream line – Momentum equation and its application – forces on pipe bend.

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UNIT-3

Laminar Flow and Turbulent Flows: Reynold’s experiment – Characteristics of Laminar & Turbulent flows, Shear and velocity distributions, Laws of Fluid friction, Hagen-Poiseulle Formula, Flow between parallel plates, Flow through long tubes, hydrodynamically smooth and rough flows.

Closed Conduit Flow: Darcy-Weisbach equation, Minor losses – pipes in series – pipes in parallel – Total energy line and hydraulic gradient line, variation of friction factor with Reynold’s number – Moody’s Chart, Pipe network problems, Hazen-Williams formula, Hard-Cross Method

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UNIT-4

Measurement of Flow: Pitot tube, Venturi meter and Orifice meter – classification of orifices, small orifice and large orifice, flow over rectangular, triangular, trapezoidal and Stepped notches, Broad crested weirs and Ogee weirs.

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UNIT-5

Boundary Layer Theory: Boundary layer (BL) – concepts, Prandtl contribution, Characteristics of boundary layer along a thin flat plate, Vonkarman momentum integral equation, laminar and turbulent Boundary layers (no deviations)- BL in transition, separation of BL, Control of BL, flow around submerged objects-Drag and Lift- Magnus effect.

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Text Books:

1. Modi P.N and Seth S.M.(2018), “Fluid mechanics”, Standard book house, New Delhi

2. A text of Fluid mechanics and hydraulic machines, R.K.Bansal- Laxmi Publications (P) ltd., New Delhi

References:

1. K.Subramanyam, Fluid mechanics and hydraulic machines Mc graw hill education, IInd edition

2. Fluid Mechanics and Machinery, C.S.P. Ojha, R. Berndtsson and P.N. Chandramouli, Oxford Higher Education.

3. Principle of fluid mechanics and fluid machines III edition, university press

OUTCOMES:

• Understand the various properties of fluids and their influence on fluid motion and analyse a variety of problems in fluid statics and dynamics.
• Calculate the forces that act on submerged planes and curves.
• Ability to analyse various types of fluid flows.
• Apply the integral forms of the three fundamental laws of fluid mechanics to turbulent and laminar flow through pipes and ducts in order to predict relevant pressures, velocities and forces.
• Able Measure the quantities of fluid flowing in pipes, tanks and channels.

JNTUK R20 2-1 Strength of Materials-I Material PDF Download

Students those who are studying JNTUK R20 Civil Branch, Can Download Unit wise R20 2-1 Strength of Materials-I (SOM-I) Material/Notes PDFs below.

JNTUK R20 2-1 Strength of Materials-I Material PDF Download

OBJECTIVES:

• To impart preliminary concepts of Strength of Material and Principles of Elasticity and Plasticity Stress conditions and to develop diagrams of variation of various stresses across the length.
• To give concepts of stresses developed in the cross section and bending equations calculation of section modulus of sections with different crosssections
• The concepts above will be utilized in measuring deflections in beams under various loading and supportconditions
• To classify cylinders based on their thickness and to derive equations for measurement of stresses across the cross section when subjected to external pressure.

UNIT-1

Simple Stresses And Strains : Elasticity and plasticity – Types of stresses and strains – Hooke’s law – stress – strain diagram for mild steel – Working stress – Factor of safety – Lateral strain, Poisson’s ratio and volumetric strain – Elastic moduli and the relationship between them – Bars of varying section – stresses in composite bars – Temperature stresses.

Strain Energy – Resilience – Gradual, sudden, impact and shock loadings – simple applications.

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UNIT-2

Shear Force and Bending Moment: Definition of beam – Types of beams – Concept of shear force and bending moment – Point of contra flexure – Relation between S.F., B.M and rate of loading at a section of a beam; S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, uniformly distributed loads, uniformly varying loads, partial uniformly distributed loads, couple and combination of these loads.

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UNIT-3

Flexural and shear Stresses in beams

Flexural Stresses: Theory of simple bending – Assumptions – Derivation of bending equation: M/I = f/y = E/R, Neutral axis – Determination bending stresses – section modulus of rectangular and circular sections (Solid and Hollow), I, T, Angle and Channel sections – Design of simple beam sections.

Shear Stresses: Derivation of formula – Shear stress distribution across various beam sections like rectangular, circular, I, T Angle sections.

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UNIT-4:

Deflection of Beams: Bending into a circular arc – slope, deflection and radius of curvature – Differential equation for the elastic curve of a beam – Double integration and Macaulay’s methods – Determination of slope and deflection for cantilever, simply supported and overhanging beams subjected to point loads, uniformly distributed loads, uniformly varying loads, partial uniformly distributed loads, couple and combination of these loads. Mohr’s theorems – Moment area method – application to simple cases of cantilever.

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UNIT-5:

Thin and Thick Cylinders: Thin cylindrical shells – Derivation of formula for longitudinal and circumferential stresses – hoop, longitudinal and volumetric strains – changes in diameter, and volume of thin cylinders.

Thick cylinders: Introduction: Lames theory for thick cylinders, Derivation of Lames formulae, distribution of hoop and radial stresses across the thickness, compound cylinders-distribution of stresses.

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TEXT BOOKS:

1. A Textbook of Strength of Materials, by R. K. Rajput, 7e (Mechanics of Solids) SI Units S. Chand & Co, NewDelhi

2. Strength of materials by R. K. Bansal, Lakshmi Publications.

REFERENCES:

1. Mechanics of Materials- by R. C.Hibbler, Pearson publishers

2. Mechanics of Solids – E P Popov, Prentice Hall.

3. Strength of Materials by B.S.Basavarajaiah and P. Mahadevappa, 3rd Edition,Universities Press

4. Mechanics of Structures Vol – I by H.J.Shah and S.B.Junnarkar, Charotar Publishing House Pvt. Ltd.

OUTCOMES:

• The student will be able to understand the basic materials behavior underthe influence of different external loading conditions and the supportconditions
• The student will be able to draw the diagrams indicating the variation of the key performance features like bending moment and shearforces
• The student will have knowledge of bending concepts and calculation of section modulus and for determination of stresses developed in the beams and deflections due to various loadingconditions
• The student will be able to assess stresses across section of the thin and thick cylinders to arrive at optimum sections to withstand the internal pressure using Lame’sequation.

JNTUK B.Tech 2-1 R20 Civil Materials: Students Can Download JNTUK 2-1 Civil R20 Regulation Materials/ E Note Books / Text Books Subject Wise From Below.

JNTUK B.Tech 2-1 Sem R20 CIVIL Materials Subject Wise PDF

Students of Jawaharlal Nehru Technological University Kakinada can avail of B.Tech 2-1 can avail of the materials for R20 regulation for various branches. Students can download JNTUK B.Tech 2-1 Sem R20 Civil Materials Subject Wise PDF from the links provided here. By tapping on the link, one can download materials for JNTUK 2-1 Sem Civil R20. The Civil engineering Students can download the subject-wise materials PDFs collected from various sources. By referring to the materials one can gain knowledge to clear the exams with a good score. The course materials include Mathematics -III, Strength of Materials-I, Fluid Mechanics, Surveying and Geometrics, Highway Engineering and various other Civil related books of various popular authors. Check the following B.Tech R20 Civil 2-1 Materials PDFs and download them for free. 

JNTUK B.Tech 2-1 Sem R20 Civil Course Structure:

Also Check: JNTUK 2-1 Sem R20 Civil Syllabus

Download JNTUK 2-1 R20 Civil Materials PDF

Students who are pursuing the B.Tech 2-1 Civil R20 Regulation can check the text books, reference books, and e-resourses provided here for free. Students can get the complete chapter-wise information from their respective text books. And from the following information from the e-resourses, text books from the familer authors will provide the extra knowledge and understanding of each subject. Hence ts helps to score good in exams. Here we have collaboratively given the best JNTUK 2-1 R20 Civil materials at one place for the reference of students.

Mathematics -III (Vector Calculus, Transforms and PDE) Material

Strength of Materials – I Material

Fluid Mechanics Material

Surveying and Geometrics Material

Highway Engineering Material